People use "daily quiz" and "homepage quiz" interchangeably, and most days they're the same three questions on the Bing homepage. What makes the daily angle worth its own page is the rhythm of it: it refreshes every day, it ties into your Rewards streak, and a few small habits make it almost automatic.
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When it refreshes
A new quiz lands each day, generally rolling over around midnight local time, though the exact timing drifts by region. Once you've completed the day's set, the card often disappears for you until the next refresh, which is normal rather than a glitch. If you only care about the points, the Microsoft Rewards dashboard is steadier than waiting for the homepage card to reappear.
Building a streak that sticks
The trick with a daily habit is attaching it to something you already do. If you check email or the weather each morning, open Bing in the same breath and knock out the quiz. A streak quietly multiplies your daily points, and the dashboard shows how many days you're on so you can keep it going.
Answering quickly without guessing
Open the image caption, identify the subject, and only then read the question. For anything fact-based, search the specific subject plus the exact thing being asked rather than pasting the whole question, which tends to surface copied answer pages. Most questions take well under a minute once you settle into the pattern.
A realistic word on points
Points are nice, but the quiz is short enough that there's no reason to chase shortcuts. Scripts and automation break Microsoft's rules and put your Rewards account at risk, and they save you maybe thirty seconds. Just play it normally and let the streak do the work.